Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML, *Force distributions in a triangular lattice of rigid bars.*,
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 72 no. 3 Pt 1
(September, 2005),
pp. 031306 [16241425], [doi] .
**Abstract:**

*We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution for single-contact forces decays faster than exponentially. This superexponential decay persists in lattices diluted to the rigidity percolation threshold. On the other hand, for anisotropic imposed stresses, a broader tail emerges in the force distribution, becoming a pure exponential in the limit of infinite lattice size and infinitely strong anisotropy.*